The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 a^7*X a^3*X 0 2*X 1 1 1 1 1 1 1 1 1 1 1 1 1 a*X 1 1 1 1 1 2*X 1 1 1 1 1 1 1 1 1 1 a^7*X 1 1 0 1 0 a^7*X a*X a^6*X a^5*X 2*X X 0 a^6*X a^7*X+1 a a^7*X+a^2 a^3 a^5 a^7*X+2 a^7*X+a^6 a^7 1 X+a a^6*X+a^2 a^7*X+a^3 X+2 a^6*X+a^6 a^6*X+1 a^2*X+a a^2 a^3*X+a^3 2*X+2 a^6*X+a a^5*X+a^2 a*X+a^6 a*X+a^5 a^2*X+a^6 a^2*X+a^3 a^3*X+2 a^3*X+a^5 a^5*X+a a*X+a^3 a*X+1 X+a^5 X+a^6 a^6*X+1 a^6*X+a^7 2*X+a^5 1 1 1 1 2*X+2 X+a^7 a^7*X+a^7 X+a^2 a*X+a^5 a^3*X+a X+a^7 a*X+a^3 X+1 a^5*X+a^6 a^3*X+2 a^2*X+a^2 a^7*X+a^7 1 a^6 a^5*X+2 a*X+a^7 1 a^6*X+a^5 1 a*X+a a^3*X+a^2 X+a^3 a^7*X+a^5 a^6*X+2 a^2*X+a^6 a^7 a^2*X+a^3 a^2*X+a a^3*X+a 1 a^6*X+a X+a^2 0 0 1 a^7*X+1 a a^2 a^7*X+2 a^7*X+a^7 a^7*X+a^3 a^5 a^6 a^6*X+a^7 a^7 a^5*X+a^7 X+a^7 a^2*X+a^7 a^7*X+a^7 a^6*X+a^7 a^7 X+a^6 a^7*X+a^5 a*X a^5*X+a^2 a*X+2 a^2*X+a^3 a^2*X+a^5 a^6*X a^2*X+a^2 X+2 X+1 a^2*X+1 a^3*X+a^3 a^7*X a^6*X+a^5 a^2*X+a a^3*X+a a^7*X+a^3 a^7*X+a X+a^2 a*X+1 a*X X+a^3 a^7*X+a^6 a^3*X+2 a^3*X+a^5 a^2*X+1 a^3 a^5*X+a^5 a^2*X+a 2*X+a^2 a^7*X+a^6 a^3*X+a^6 a^5*X+a^2 a^7*X+2 2*X+2 X+a^6 a^5*X+a^3 a^6*X a*X+a a^5*X+1 a^2*X+a^2 a^3*X+a^5 a^5*X+a a^3*X+1 a^5*X+a^5 a^7*X+a a^7*X X+a^2 2*X+a^6 a^3*X+2 a^3*X+2 1 2*X+a^3 a^6*X+a^2 a^2*X+a^5 a*X+a^2 2 a^5*X+a^6 2*X+a 0 a^6 X+a^3 X+a generates a code of length 83 over F9[X]/(X^2) who´s minimum homogenous weight is 645. Homogenous weight enumerator: w(x)=1x^0+3312x^645+20736x^646+13968x^647+2832x^648+216x^649+16272x^654+67248x^655+35496x^656+4080x^657+1512x^658+24912x^663+94896x^664+42624x^665+5584x^666+4104x^667+31320x^672+108720x^673+47880x^674+5720x^675+8x^720 The gray image is a linear code over GF(9) with n=747, k=6 and d=645. This code was found by Heurico 1.16 in 42 seconds.